Skip to content
Open Model LabStarter tracks
HomeConcept libraryVectors and Motion Bridge

Starter track

Follow the authored sequence, or switch to recap mode for a faster review of the same path.

Full trackRecap mode
Starter track2 concepts2 checkpoints50 min

Vectors and Motion Bridge

Not started

Start with vectors as geometric objects on a 2D plane, then carry the same component language into the existing motion-facing vectors bench.

Use this short bridge when the new math vectors concept should connect cleanly to the physics catalog instead of feeling like a separate subject island. The path starts with addition, subtraction, and scaling on a live 2D plane, then moves straight into Vectors and Components where the same ordered-pair language becomes motion-reading language.

Magnitude and directionAddition and subtractionScalar multiplicationBridge into motion

Entry diagnostic

Decide where to enter this path without opening a second testing system.

Reuse the 2D-vectors quick test and the motion-endpoint checkpoint to decide whether to start from plane-based vector combination or jump straight into the motion-facing bench.

Start from beginning0 / 2 probes ready

Check the vector bridge before you skip ahead

Start from beginning

No saved diagnostic checks are available yet, so the opening concept is still the best place to start.

Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.

Begin with Vectors in 2D
  1. Quick testNot started3 questions

    2D vectors quick test

    Check whether vector arrows, components, subtraction, and scalar multiplication already stay tied together on the same plane.

    No saved quick-test result yet.

    2D vectors
    Open Vectors in 2D quick test
  2. ChallengeNot started5 checks

    Motion bridge checkpoint

    Use the motion-facing vectors challenge to verify that the same component language already reaches a real endpoint target before you skip the opening bridge.

    No saved checkpoint attempt yet.

    VectorsInspect time
    Open Hit the endpoint

Why this order

The sequence is authored to keep the model honest.

Vectors in 2D comes first because it keeps the vector itself visible as an arrow and an ordered pair before any motion story is layered on top. Vectors and Components follows by reusing that same component bookkeeping inside a moving-point bench, so the bridge into mechanics feels like a continuation rather than a reset.

Shared concept pages

Each step opens the same simulation-first framework.

Compare mode, prediction mode, quick test, worked examples, guided overlays, challenge mode, and read-next cues stay on the concept pages. The track only decides the guided order and the next recommended stop.

Guided path

Follow the concepts and checkpoint moments in order.

Checkpoint cards reuse the authored challenge entries already living on the concept pages.

  1. 1Not startedMastery: NewStart here

    Vectors in 2D

    Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.

    Start here before moving into Vectors and Components.

    VectorsIntro25 min
    Start concept
  2. Checkpoint 1LockedNot started

    Combination checkpoint

    Lock in one honest cancellation case on the plane before the bridge shifts into motion-reading language.

    Finish Vectors in 2D first. This checkpoint ties together 2D vectors through Near-zero resultant.

    Pause here after Vectors in 2D before moving into Vectors and Components.

    2D vectors7 checksCoreGraph-linkedGuided start
    Return to 2D vectorsOpen concept
  3. 2Not startedMastery: New

    Vectors and Components

    Rotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.

    Capstone step after Vectors in 2D.

    MechanicsIntro25 min
    Open concept
  4. Checkpoint 2LockedNot started

    Motion bridge checkpoint

    Finish by landing the endpoint target so the ordered-pair vector language carries cleanly from the math plane into the motion bench.

    Finish Vectors and Components first. This checkpoint ties together 2D vectors and Vectors through Hit the endpoint.

    Final checkpoint that closes the authored track after Vectors and Components.

    2D vectorsVectors5 checksStretchInspect timeGraph-linkedGuided start
    Return to VectorsOpen concept